This Merchant Ivory Production is a story of the Kendalls touring India. And yes, that is Felicity Kendall probably best known as Barbara Goode in the BBC sitcom "Goode Neighbors".
Wikipedia...
Loosely based on the real-life Kendal family, this film follows the story of nomadic British actors as they perform in towns in post-colonial India performing plays by Shakespeare. In this story, Tony Buckingham (Geoffrey Kendal) and his wife Carla (Laura Liddell) oversee the troupe. Their daughter, Lizzie Buckingham (Felicity Kendal), falls in love with Sanju (Shashi Kapoor), who is also romancing Manjula (Madhur Jaffrey) a Bollywood film star.
In real life, Shashi Kapoor fell in love with Felicity's elder sister Jennifer Kendal. Their marriage would provide an important contribution to the Indian film industry until Kendal's death in 1984.